碳纤维编织面料的无otropic 超弹性应变能量函数
Renye Cai1,2,3, Heng Zhang1, Chenxiang Lai4
1School of Automobile and Transportation Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, China.
Materials (Basel, Switzerland)
|May 25, 2024
概括
本研究介绍了碳纤维编织复合材料的新应变能量函数 (SEF). 该模型使用较少的参数准确预测材料行为,并通过实验数据验证.
科学领域:
- 材料科学 材料科学 材料科学
- 固体力学 固体力学是什么
- 计算工程 计算工程
背景情况:
- 不同类型的材料,如碳纤维织物,表现出复杂的机械行为.
- 这些材料的准确建模对于工程应用至关重要.
- 现有的模型可能缺乏效率或需要广泛的参数化.
研究的目的:
- 为不可压缩的异型纤维增强材料引入创新的应变能量函数 (SEF).
- 开发一种模型,专门用于理解碳纤维织物织物的机械行为.
- 确保在材料参数识别过程中提供单一可靠的解决方案.
主要方法:
- 开发了一种新的SEF,将多形不变数结合为多项式,灵感来自诺瑟定理.
- 利用线性依赖的材料参数来实现独特的识别解决方案.
- 通过将封闭式溶液与各种拉伸比率的实验拉伸数据进行比较,确定了六个材料参数.
主要成果:
- 在将模型预测与实验拉力数据进行比较时,始终达到0.99的确定系数.
- 证明该模型在单轴拉伸试验中简化为线性多项式,将参数从6个减少到4个,而不会影响准确性.
- 数字计算与实验结果精确一致,证实了模型的效率和准确性.
结论:
- 拟议的SEF提供了一个准确和有效的方法来建模碳纤维织物.
- 由于线性依赖关系,模型的参数识别被简化,从而产生唯一的解决方案.
- 对于单轴测试的缩小参数设置保持了高的预测准确性,展示了该模型的实际适用性.
相关概念视频
01:20Elastic Strain Energy for Shearing Stresses
183
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
183
01:22Elastic Strain Energy for Normal Stresses
155
Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
If...
155
01:26Hooke's Law
378
Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
378
01:20Strain-Energy Density
392
Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this...
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this...
392
01:08Bending of Members Made of Several Materials
147
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
147
01:13Strain Energy
412
Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
412